Aspects of 4d supersymmetric dynamics and geometry

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Abstract
In this set of five Lectures we present a basic toolbox to discuss the dynamics of four dimensional supersymmetric quantum field theories. In particular we overview the program of geometrically engineering the four dimensional supersymmetric models as compactifications of six dimensional SCFTs. We discuss how strong coupling phenomena in four dimensions, such as duality and emergence of symmetry, can be naturally imbedded in the geometric constructions. The Lectures mostly review results which previously appeared in the literature but also contain some unpublished derivations.
Funding Information
  • Ambrose Monell Foundation
  • Clore Israel Foundation
  • European Research Council (637844)
  • European Research Council (682608)
  • German-Israeli Foundation for Scientific Research and Development (I-1515-303./2019)
  • Institute for Advanced Study
  • Instituto Nazionale di Fisica Nucleare
  • Israel Science Foundation (2289/18)
  • Simons Foundation (815892)
  • United States - Israel Binational Science Foundation (2018204)
  • University of California, Los Angeles

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